SOLUTION: 11. Suppose a 95% confidence interval is computed forμresulting in the interval (112.4, 121.6). Then it would be accurate to say A. 95% of the time,μfalls within th

Algebra ->  Statistics  -> Confidence-intervals -> SOLUTION: 11. Suppose a 95% confidence interval is computed forμresulting in the interval (112.4, 121.6). Then it would be accurate to say A. 95% of the time,μfalls within th      Log On


   



Question 1061629: 11. Suppose a 95% confidence interval is computed forμresulting in the interval (112.4, 121.6).
Then it would be accurate to say
A. 95% of the time,μfalls within the interval (112.4, 121.6).
B. There is a 95% chance thatμwill fall within the interval (112.4, 121.6).
C. 5% of all the possible samples will produce intervals that do captureμ.
D. 95% confident that the true value for μwill fall within the interval (112.4, 121.6).

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
It is D.
We are confident that the parameter, which is unknown and unknowable (usually) is in the interval. It is not probabilistic, because the parameter either is or isn't, and that is a 0-100% issue. We can say that if we construct 100 such intervals, 95 of them will contain the parameter, but we don't know which 95. Those 100 such intervals will not be the same.